Question

A balloon artist creates balloon hats for children at a store’s grand opening. The graph shows the number of balloons the artist has remaining, y, after creating x hats. What phrases can be used to describe the line representing the relationship between the number of balloons remaining and the number of hats created? Select three options. positive slope negative slope zero slope constant slope increasing function decreasing function

Answer 1

Explanation:

Negative slope

*Slope constant

*Decreasing function

Answer 2

*Negative slope

*Slope constant

*Decreasing function

Explanation:

It can be seen in the graph that as the number of balloon hats created increases, the number of balloons decreases.

For example:

When the number of balloon hats is 40, the number of remaining balloons is 300.

Then, when the number of balloon hats created is 70, the number of remaining balloons is 150.

This means that y decreases as x increases. This means that the function is decreasing, and all the decreasing linear functions have a negative slope. In addition, when the function is linear like that of the graph, the slope always remains constant. Note that whenever x increases by a factor of 10 units, then y increases by a constant factor of 50 units.